9992400 has 120 divisors (see below), whose sum is σ = 34965024. Its totient is φ = 2419200.

The previous prime is 9992393. The next prime is 9992401. The reversal of 9992400 is 42999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9992401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12822 + ... + 13578.

Almost surely, 2^9992400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17482512).

9992400 is an abundant number, since it is smaller than the sum of its proper divisors (24972624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9992400 is a wasteful number, since it uses less digits than its factorization.

9992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 9992400 is about 3161.0757662543. The cubic root of 9992400 is about 215.3888761585.

The spelling of 9992400 in words is "nine million, nine hundred ninety-two thousand, four hundred".